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Finding the Fourth Proportional to 477,001.25, 658,302.12 and 324,378.03

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Solution

The fourth proportional to 477,001.25, 658,302.12 and 324,378.03 is: 447,669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,001.25 : 658,302.12 = 324,378.03 : x
  2. Step 2: Convert to fraction form
    477,001.25/658,302.12 = 324,378.03/x
  3. Step 3: Cross multiply
    477,001.25x = 658,302.12 × 324,378.03
  4. Step 4: Simplify right side
    477,001.25x = 213,538,744,830.42
  5. Step 5: Solve for x
    x = 213,538,744,830.42/477,001.25
  6. Step 6: Final answer
    x = 447,669.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.